Newton polyhedron and \(f^ s_ +\) distribution. II

DOI10.1007/BF01444712zbMath0778.32010MaRDI QIDQ1204224

Patrick Sargos, Jan Denef

Publication date: 3 March 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164954

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Meromorphic functions of several complex variables (32A20) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (10)

The asymptotic behavior of degenerate oscillatory integrals in two dimensions ⋮ Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude ⋮ Local zeta functions and Newton polyhedra ⋮ Resolution of singularities for \(C^\infty\) functions and meromorphy of local zeta functions ⋮ Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities ⋮ Igusa and Denef-Sperber conjectures on nondegenerate \(p\)-adic exponential sums ⋮ Meromorphy of local zeta functions in smooth model cases ⋮ Newton polyhedra, unstable faces and the poles of Igusa’s local zeta function ⋮ Nonpolar singularities of local zeta functions in some smooth case ⋮ Oscillating integrals and Newton polyhedra

Cites Work

• Unnamed Item
• Polyèdre de Newton et distribution \(f^ s_+\). I. (Newton polyhedra and distributions \(f^ s_+\). I.)
• Some local consequences of Hodge theory
• Newton polyhedra and estimation of oscillating integrals
• Fonctions d'Igusa p-adiques, polynômes de Bernstein, et polyèdres de Newton.
• Contribution effective de la monodromie aux développements asymptotiques
• Fonctions D'Igusa p-adiques et Polynomes de Berstein
• Intégrales asymptotiques et monodromie
• Convex Analysis

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